a(n) = Sum_{k=0..5} binomial(10,k)*binomial(n,k).

Terms

a(0) =1a(1) =11a(2) =66a(3) =286a(4) =1001a(5) =3003a(6) =7798a(7) =17858a(8) =36873a(9) =70003a(10) =124130a(11) =208110a(12) =333025a(13) =512435a(14) =762630a(15) =1102882a(16) =1555697a(17) =2147067a(18) =2906722a(19) =3868382a(20) =5070009a(21) =6554059a(22) =8367734a(23) =10563234a(24) =13198009a(25) =16335011a(26) =20042946a(27) =24396526a(28) =29476721a(29) =35371011